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One Inconvenient Application of Utiliarism:
Given a class of chores which provide benefit but are disliked to perform by most people (and cannot be dealt away with). Also assume that these chores can be performed by most people. Further take another class of tasks that can be performed by a subset of the population only and comes with less displeasure. Also add some neutral tasks.
An set of example task could be dealing with garbage, solving complex math problems and child care.
How should you assign the tasks from these classes to people?
It appears that those people who can perform the more pleasurable tasks should do so while the other should perform the unwanted tasks and the remaining neutral tasks are performed equally.
For me this seems kind of unfair. It places the lesser able people potentially at the less pleasurable end. Moral judgements may vary - but this question at least requires some discussion.
What do you think?
Those people can be compensated in other ways. If there is some aspect of your utility that your conception of utilitarianism isn't capturing then you have to figure out how to capture it. Utilitarianism based on simple utility models will always fail.